{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "fitted-principal",
   "metadata": {},
   "source": [
    "## 习题 2.4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "studied-contest",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 15 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>Y</th><th scope=col>X1</th><th scope=col>X2</th></tr>\n",
       "\t<tr><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>162</td><td>274</td><td>2450</td></tr>\n",
       "\t<tr><td>120</td><td>180</td><td>3254</td></tr>\n",
       "\t<tr><td>223</td><td>375</td><td>3802</td></tr>\n",
       "\t<tr><td>131</td><td>205</td><td>2838</td></tr>\n",
       "\t<tr><td> 67</td><td> 86</td><td>2347</td></tr>\n",
       "\t<tr><td>169</td><td>265</td><td>3782</td></tr>\n",
       "\t<tr><td> 81</td><td> 98</td><td>3008</td></tr>\n",
       "\t<tr><td>192</td><td>330</td><td>2450</td></tr>\n",
       "\t<tr><td>116</td><td>195</td><td>2137</td></tr>\n",
       "\t<tr><td> 55</td><td> 53</td><td>2560</td></tr>\n",
       "\t<tr><td>252</td><td>430</td><td>4020</td></tr>\n",
       "\t<tr><td>232</td><td>372</td><td>4427</td></tr>\n",
       "\t<tr><td>144</td><td>236</td><td>2660</td></tr>\n",
       "\t<tr><td>103</td><td>157</td><td>2088</td></tr>\n",
       "\t<tr><td>212</td><td>370</td><td>2605</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 15 × 3\n",
       "\\begin{tabular}{lll}\n",
       " Y & X1 & X2\\\\\n",
       " <int> & <int> & <int>\\\\\n",
       "\\hline\n",
       "\t 162 & 274 & 2450\\\\\n",
       "\t 120 & 180 & 3254\\\\\n",
       "\t 223 & 375 & 3802\\\\\n",
       "\t 131 & 205 & 2838\\\\\n",
       "\t  67 &  86 & 2347\\\\\n",
       "\t 169 & 265 & 3782\\\\\n",
       "\t  81 &  98 & 3008\\\\\n",
       "\t 192 & 330 & 2450\\\\\n",
       "\t 116 & 195 & 2137\\\\\n",
       "\t  55 &  53 & 2560\\\\\n",
       "\t 252 & 430 & 4020\\\\\n",
       "\t 232 & 372 & 4427\\\\\n",
       "\t 144 & 236 & 2660\\\\\n",
       "\t 103 & 157 & 2088\\\\\n",
       "\t 212 & 370 & 2605\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 15 × 3\n",
       "\n",
       "| Y &lt;int&gt; | X1 &lt;int&gt; | X2 &lt;int&gt; |\n",
       "|---|---|---|\n",
       "| 162 | 274 | 2450 |\n",
       "| 120 | 180 | 3254 |\n",
       "| 223 | 375 | 3802 |\n",
       "| 131 | 205 | 2838 |\n",
       "|  67 |  86 | 2347 |\n",
       "| 169 | 265 | 3782 |\n",
       "|  81 |  98 | 3008 |\n",
       "| 192 | 330 | 2450 |\n",
       "| 116 | 195 | 2137 |\n",
       "|  55 |  53 | 2560 |\n",
       "| 252 | 430 | 4020 |\n",
       "| 232 | 372 | 4427 |\n",
       "| 144 | 236 | 2660 |\n",
       "| 103 | 157 | 2088 |\n",
       "| 212 | 370 | 2605 |\n",
       "\n"
      ],
      "text/plain": [
       "   Y   X1  X2  \n",
       "1  162 274 2450\n",
       "2  120 180 3254\n",
       "3  223 375 3802\n",
       "4  131 205 2838\n",
       "5   67  86 2347\n",
       "6  169 265 3782\n",
       "7   81  98 3008\n",
       "8  192 330 2450\n",
       "9  116 195 2137\n",
       "10  55  53 2560\n",
       "11 252 430 4020\n",
       "12 232 372 4427\n",
       "13 144 236 2660\n",
       "14 103 157 2088\n",
       "15 212 370 2605"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data <- read.table(\"./ex_2_4.txt\", header=TRUE)\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "canadian-desktop",
   "metadata": {},
   "outputs": [],
   "source": [
    "attach(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "precise-ready",
   "metadata": {},
   "source": [
    "回归之前应该先看一下变量之间的相关关系如何，可以借助*散点图矩阵*来实现。\n",
    "\n",
    "散点图矩阵（scatterplot matrix): 每个行与列的交叉点所在的散点图表示其所在的行与列的两个变量的相关关系："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "instructional-local",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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O8EnuOlziCP9u4ly3klh/0cfF/lj8mx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\noIACCiiggAJlCfw/R99ynizoKqMAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pairs(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dental-respect",
   "metadata": {},
   "source": [
    "用 psych 包里的 `pairs.panels` 可以作出有更多信息的图："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "correct-thumb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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13PO+90Neusk8FWIrGo/d6SdeIwSrHnluwHzaxXvbGKXXX6sxK6+wdVJwoCCCCA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\nEEgKcAUpKcErAggUS+B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KQjqdxXbaRt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f6o98xsutC3qXQIWT9PjjNq+kxGZ37mxt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\nYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(psych)\n",
    "pairs.panels(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "shaped-manner",
   "metadata": {},
   "source": [
    "- 对角线上方：相关系数\n",
    "- 对角线：每个特征的数值分布直方图\n",
    "- 下方：散点图\n",
    "    - 相关椭圆：\n",
    "        - 中心点：两个变量的均值所确定的点\n",
    "        - 椭圆形状：两个变量的相关性：椭圆越被拉伸，其相关性越强\n",
    "    - 局部回归平滑曲线：x轴和y轴变量之间的一般关系"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "smoking-hostel",
   "metadata": {},
   "source": [
    "假设 $Y$ 与 $X_1$, $X_2$ 之间满足线性回归关系\n",
    "\n",
    "$$\n",
    "y_i=\\beta_0+\\beta_1x_{i1}+\\beta_2x_{i2}+\\epsilon_i,\\quad i=1,2,\\cdots,15\n",
    "$$\n",
    "\n",
    "其中 $\\epsilon_i (i=1,1,\\cdots,15)$ 独立同分布于 $N(0,\\sigma^2)$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "relevant-generic",
   "metadata": {},
   "source": [
    "### (1)\n",
    "求回归系数 $\\beta_0,\\beta_1,\\beta_2$ 的最小二乘估计和误差方差 $\\sigma^2$ 的估计，\n",
    "写出回归方程并对回归系数作解释"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "wound-vegetarian",
   "metadata": {},
   "source": [
    "回归："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "careful-quantum",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = Y ~ X1 + X2, data = data)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-3.8320 -1.2044 -0.2406  1.4888  3.3092 \n",
       "\n",
       "Coefficients:\n",
       "             Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept) 3.4526128  2.4306505   1.420    0.181    \n",
       "X1          0.4960050  0.0060544  81.924  < 2e-16 ***\n",
       "X2          0.0091991  0.0009681   9.502  6.2e-07 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 2.177 on 12 degrees of freedom\n",
       "Multiple R-squared:  0.9989,\tAdjusted R-squared:  0.9988 \n",
       "F-statistic:  5679 on 2 and 12 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fm <- lm(Y ~ X1 + X2, data)\n",
    "summary(fm)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "excessive-mailman",
   "metadata": {},
   "source": [
    "Coefficients 是回归得到的系数，由此得到回归方程：\n",
    "\n",
    "$$\n",
    "\\hat Y = 0.496005 X_1 + 0.009199 X_2 + 3.452613\n",
    "$$\n",
    "\n",
    "Residual standard error 即残差标准差，$\\sigma=2.177$, 由此得到误差方差的估计：\n",
    "\n",
    "$$\n",
    "\\sigma^2=4.739\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "faced-advocate",
   "metadata": {},
   "source": [
    "### (2)\n",
    "求出方差分析表，解释对现行回归关系显著性检验的结果。求复相关系数的平方 $R^2$ 的值并解释其意义\n",
    "\n",
    "模型方差分析表:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "least-reading",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A anova: 3 × 5</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Df</th><th scope=col>Sum Sq</th><th scope=col>Mean Sq</th><th scope=col>F value</th><th scope=col>Pr(&gt;F)</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>X1</th><td> 1</td><td>53416.71863</td><td>53416.718634</td><td>11268.64354</td><td>3.270351e-19</td></tr>\n",
       "\t<tr><th scope=row>X2</th><td> 1</td><td>  427.99780</td><td>  427.997800</td><td>   90.28923</td><td>6.201181e-07</td></tr>\n",
       "\t<tr><th scope=row>Residuals</th><td>12</td><td>   56.88357</td><td>    4.740297</td><td>         NA</td><td>          NA</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A anova: 3 × 5\n",
       "\\begin{tabular}{r|lllll}\n",
       "  & Df & Sum Sq & Mean Sq & F value & Pr(>F)\\\\\n",
       "  & <int> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\tX1 &  1 & 53416.71863 & 53416.718634 & 11268.64354 & 3.270351e-19\\\\\n",
       "\tX2 &  1 &   427.99780 &   427.997800 &    90.28923 & 6.201181e-07\\\\\n",
       "\tResiduals & 12 &    56.88357 &     4.740297 &          NA &           NA\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A anova: 3 × 5\n",
       "\n",
       "| <!--/--> | Df &lt;int&gt; | Sum Sq &lt;dbl&gt; | Mean Sq &lt;dbl&gt; | F value &lt;dbl&gt; | Pr(&gt;F) &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|\n",
       "| X1 |  1 | 53416.71863 | 53416.718634 | 11268.64354 | 3.270351e-19 |\n",
       "| X2 |  1 |   427.99780 |   427.997800 |    90.28923 | 6.201181e-07 |\n",
       "| Residuals | 12 |    56.88357 |     4.740297 |          NA |           NA |\n",
       "\n"
      ],
      "text/plain": [
       "          Df Sum Sq      Mean Sq      F value     Pr(>F)      \n",
       "X1         1 53416.71863 53416.718634 11268.64354 3.270351e-19\n",
       "X2         1   427.99780   427.997800    90.28923 6.201181e-07\n",
       "Residuals 12    56.88357     4.740297          NA           NA"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "anova(fm)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "possible-testimony",
   "metadata": {},
   "source": [
    "aov 输出更友好，可以直接显示出结果："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "union-stone",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "            Df Sum Sq Mean Sq  F value  Pr(>F)    \n",
       "X1           1  53417   53417 11268.64 < 2e-16 ***\n",
       "X2           1    428     428    90.29 6.2e-07 ***\n",
       "Residuals   12     57       5                     \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(aov(fm))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "affecting-shirt",
   "metadata": {},
   "source": [
    "$R^2$ 可以由 summary(fm) 输出的 `Multiple R-squared` 看出："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ideal-finance",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.998944677605876"
      ],
      "text/latex": [
       "0.998944677605876"
      ],
      "text/markdown": [
       "0.998944677605876"
      ],
      "text/plain": [
       "[1] 0.9989447"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(fm)$r.squared"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "official-shelf",
   "metadata": {},
   "source": [
    "$\\therefore R^2=0.9989$ "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "personal-candy",
   "metadata": {},
   "source": [
    "### (3)\n",
    "分别求 $\\beta_1$ 和 $\\beta_2$ 的置信度为 $95\\%$ 的置信区间"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "secret-calendar",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A matrix: 3 × 2 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>2.5 %</th><th scope=col>97.5 %</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>(Intercept)</th><td>-1.843319690</td><td>8.74854527</td></tr>\n",
       "\t<tr><th scope=row>X1</th><td> 0.482813482</td><td>0.50919647</td></tr>\n",
       "\t<tr><th scope=row>X2</th><td> 0.007089742</td><td>0.01130842</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 3 × 2 of type dbl\n",
       "\\begin{tabular}{r|ll}\n",
       "  & 2.5 \\% & 97.5 \\%\\\\\n",
       "\\hline\n",
       "\t(Intercept) & -1.843319690 & 8.74854527\\\\\n",
       "\tX1 &  0.482813482 & 0.50919647\\\\\n",
       "\tX2 &  0.007089742 & 0.01130842\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 3 × 2 of type dbl\n",
       "\n",
       "| <!--/--> | 2.5 % | 97.5 % |\n",
       "|---|---|---|\n",
       "| (Intercept) | -1.843319690 | 8.74854527 |\n",
       "| X1 |  0.482813482 | 0.50919647 |\n",
       "| X2 |  0.007089742 | 0.01130842 |\n",
       "\n"
      ],
      "text/plain": [
       "            2.5 %        97.5 %    \n",
       "(Intercept) -1.843319690 8.74854527\n",
       "X1           0.482813482 0.50919647\n",
       "X2           0.007089742 0.01130842"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 模型参数的置信区间\n",
    "confint(fm, level = 0.95)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "assisted-withdrawal",
   "metadata": {},
   "source": [
    "得到所求置信区间：\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\beta_1:&& (0.482813482, 0.50919647)\\\\\n",
    "\\beta_2:&& (0.007089742, 0.01130842)\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "given-criticism",
   "metadata": {},
   "source": [
    "### (4)\n",
    "对 $\\alpha=0.05$，分别检验人数 $X_1$ 和收入 $X_2$ 对销量 $Y$ 的影响是否显著，\n",
    "利用回归系数有关的一般假设检验方法检验 $X_1$ 和 $X_2$ 的交互作用 ($X_1X_2$) 对 $Y$ 的影响是否显著。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "median-houston",
   "metadata": {},
   "source": [
    "在 `summary(fm)` 输出的 Coefficients 段即可看出 $X_1$、$X_2$ 对 $Y$ 影响的显著性："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "international-campus",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = Y ~ X1 + X2, data = data)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-3.8320 -1.2044 -0.2406  1.4888  3.3092 \n",
       "\n",
       "Coefficients:\n",
       "             Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept) 3.4526128  2.4306505   1.420    0.181    \n",
       "X1          0.4960050  0.0060544  81.924  < 2e-16 ***\n",
       "X2          0.0091991  0.0009681   9.502  6.2e-07 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 2.177 on 12 degrees of freedom\n",
       "Multiple R-squared:  0.9989,\tAdjusted R-squared:  0.9988 \n",
       "F-statistic:  5679 on 2 and 12 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(fm)#$coefficients"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "capable-douglas",
   "metadata": {},
   "source": [
    "Coefficients 段输出有:\n",
    "\n",
    "- `t value`: T 检验的值\n",
    "- `Pr(>|t|)`: 表示 T 检验判定 P 值，后面有显著性标记（`*`号）\n",
    "- 显著性标记：`*` 个数对应显著性水平。\n",
    "\n",
    "这里 $X_1$、$X_2$ 都是有 `***` 的，或者看 P 都在 0.0001 以下，\n",
    "所以对于 $\\alpha=0.05$，认为人数 $X_1$ 和收入 $X_2$ 对销量 $Y$ 的影响显著。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "caroline-excitement",
   "metadata": {},
   "source": [
    "注：这里可以做约简模型，求$SSE(R)$、$SSE(T)$... 去分析，下面的函数会有帮助：（由于麻烦，这里不采用这种方法。）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "excellent-playback",
   "metadata": {},
   "outputs": [],
   "source": [
    "sse <- function(model, y) sum((fitted(model) - y)^2)\n",
    "ssr <- function(model, y) sum((fitted(model) - mean(y))^2)\n",
    "sst <- function(model, y) ssr(model, y) + sse(model, y)\n",
    "\n",
    "ss <- function(model, y) {\n",
    "    cbind(matrix(c(\"sse\", \"ssr\", \"sst\"), 3, 1), \n",
    "          c(sse(model, y), ssr(model, y), sst(model, y)))\n",
    "    }\n",
    "\n",
    "# R^2\n",
    "# ssr(fm, Y)/sst(fm, Y)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "manufactured-niger",
   "metadata": {},
   "source": [
    "下面研究 $X_1$、$X_2$ 交互作用对 Y 的影响："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "consecutive-collection",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = Y ~ X1 + X2 + X1:X2, data = data)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-3.9094 -1.2010 -0.1811  1.5072  3.2141 \n",
       "\n",
       "Coefficients:\n",
       "             Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept) 4.901e+00  8.539e+00   0.574    0.578    \n",
       "X1          4.911e-01  2.832e-02  17.344 2.45e-09 ***\n",
       "X2          8.674e-03  3.124e-03   2.777    0.018 *  \n",
       "X1:X2       1.698e-06  9.556e-06   0.178    0.862    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 2.271 on 11 degrees of freedom\n",
       "Multiple R-squared:  0.9989,\tAdjusted R-squared:  0.9987 \n",
       "F-statistic:  3481 on 3 and 11 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fm1 <- update(fm, . ~ . + X1:X2)\n",
    "summary(fm1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "sensitive-japanese",
   "metadata": {},
   "source": [
    "从拟合的结果里，`X1:X2` 的 P-value=0.862 比较大，说明交互作用对 Y 的影响不显著，没有必要引入交叉项。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "level-acquisition",
   "metadata": {},
   "source": [
    "### (5)\n",
    "![](https://tva1.sinaimg.cn/large/008i3skNly1gr3yf8l5dzj30mh01taai.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "healthy-medication",
   "metadata": {},
   "source": [
    "新数据："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "theoretical-mercury",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 1 × 2</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>X1</th><th scope=col>X2</th></tr>\n",
       "\t<tr><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>220</td><td>2500</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 1 × 2\n",
       "\\begin{tabular}{ll}\n",
       " X1 & X2\\\\\n",
       " <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 220 & 2500\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 1 × 2\n",
       "\n",
       "| X1 &lt;dbl&gt; | X2 &lt;dbl&gt; |\n",
       "|---|---|\n",
       "| 220 | 2500 |\n",
       "\n"
      ],
      "text/plain": [
       "  X1  X2  \n",
       "1 220 2500"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x01 = 220\n",
    "x02 = 2500\n",
    "newdata <- data.frame(X1 = c(x01), X2 = c(x02))\n",
    "newdata"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "relative-wellington",
   "metadata": {},
   "source": [
    "代入模型进行预测："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "freelance-petersburg",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<strong>1:</strong> 135.571409702671"
      ],
      "text/latex": [
       "\\textbf{1:} 135.571409702671"
      ],
      "text/markdown": [
       "**1:** 135.571409702671"
      ],
      "text/plain": [
       "       1 \n",
       "135.5714 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predict(fm, newdata)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bearing-contributor",
   "metadata": {},
   "source": [
    "要获取置信区间需要再传入几个参数："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "enclosed-franchise",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A matrix: 1 × 3 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>fit</th><th scope=col>lwr</th><th scope=col>upr</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>135.5714</td><td>130.5998</td><td>140.543</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 1 × 3 of type dbl\n",
       "\\begin{tabular}{r|lll}\n",
       "  & fit & lwr & upr\\\\\n",
       "\\hline\n",
       "\t1 & 135.5714 & 130.5998 & 140.543\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 1 × 3 of type dbl\n",
       "\n",
       "| <!--/--> | fit | lwr | upr |\n",
       "|---|---|---|---|\n",
       "| 1 | 135.5714 | 130.5998 | 140.543 |\n",
       "\n"
      ],
      "text/plain": [
       "  fit      lwr      upr    \n",
       "1 135.5714 130.5998 140.543"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predict(fm, newdata, interval=\"prediction\", levels=0.95)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "outer-determination",
   "metadata": {},
   "source": [
    "即得到预测值 $\\hat y_0 = 135.5714$，置信度为 $95\\%$ 的置信区间 $(130.5998, 140.543)$。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "swedish-wages",
   "metadata": {},
   "source": [
    "### (6)\n",
    "\n",
    "![](https://tva1.sinaimg.cn/large/008i3skNly1gr3yz2huq0j30mm02naax.jpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "close-belle",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 15 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>拟合值</th><th scope=col>残差</th><th scope=col>学生化残差</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>161.89572</td><td> 0.1042756</td><td> 0.04973473</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>122.66732</td><td>-2.6673176</td><td>-1.36670170</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>224.42938</td><td>-1.4293843</td><td>-0.71265041</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>131.24062</td><td>-0.2406244</td><td>-0.11000544</td></tr>\n",
       "\t<tr><th scope=row>5</th><td> 67.69928</td><td>-0.6992835</td><td>-0.34443368</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>169.68486</td><td>-0.6848553</td><td>-0.33365032</td></tr>\n",
       "\t<tr><th scope=row>7</th><td> 79.73194</td><td> 1.2680643</td><td> 0.65018013</td></tr>\n",
       "\t<tr><th scope=row>8</th><td>189.67200</td><td> 2.3279970</td><td> 1.25776219</td></tr>\n",
       "\t<tr><th scope=row>9</th><td>119.83202</td><td>-3.8320189</td><td>-2.21655274</td></tr>\n",
       "\t<tr><th scope=row>10</th><td> 53.29052</td><td> 1.7094765</td><td> 0.91079624</td></tr>\n",
       "\t<tr><th scope=row>11</th><td>253.71506</td><td>-1.7150576</td><td>-0.92397237</td></tr>\n",
       "\t<tr><th scope=row>12</th><td>228.69079</td><td> 3.3092051</td><td> 2.16085046</td></tr>\n",
       "\t<tr><th scope=row>13</th><td>144.97934</td><td>-0.9793423</td><td>-0.45379850</td></tr>\n",
       "\t<tr><th scope=row>14</th><td>100.53307</td><td> 2.4669251</td><td> 1.27498091</td></tr>\n",
       "\t<tr><th scope=row>15</th><td>210.93806</td><td> 1.0619404</td><td> 0.55945704</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 15 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       "  & 拟合值 & 残差 & 学生化残差\\\\\n",
       "  & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t1 & 161.89572 &  0.1042756 &  0.04973473\\\\\n",
       "\t2 & 122.66732 & -2.6673176 & -1.36670170\\\\\n",
       "\t3 & 224.42938 & -1.4293843 & -0.71265041\\\\\n",
       "\t4 & 131.24062 & -0.2406244 & -0.11000544\\\\\n",
       "\t5 &  67.69928 & -0.6992835 & -0.34443368\\\\\n",
       "\t6 & 169.68486 & -0.6848553 & -0.33365032\\\\\n",
       "\t7 &  79.73194 &  1.2680643 &  0.65018013\\\\\n",
       "\t8 & 189.67200 &  2.3279970 &  1.25776219\\\\\n",
       "\t9 & 119.83202 & -3.8320189 & -2.21655274\\\\\n",
       "\t10 &  53.29052 &  1.7094765 &  0.91079624\\\\\n",
       "\t11 & 253.71506 & -1.7150576 & -0.92397237\\\\\n",
       "\t12 & 228.69079 &  3.3092051 &  2.16085046\\\\\n",
       "\t13 & 144.97934 & -0.9793423 & -0.45379850\\\\\n",
       "\t14 & 100.53307 &  2.4669251 &  1.27498091\\\\\n",
       "\t15 & 210.93806 &  1.0619404 &  0.55945704\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 15 × 3\n",
       "\n",
       "| <!--/--> | 拟合值 &lt;dbl&gt; | 残差 &lt;dbl&gt; | 学生化残差 &lt;dbl&gt; |\n",
       "|---|---|---|---|\n",
       "| 1 | 161.89572 |  0.1042756 |  0.04973473 |\n",
       "| 2 | 122.66732 | -2.6673176 | -1.36670170 |\n",
       "| 3 | 224.42938 | -1.4293843 | -0.71265041 |\n",
       "| 4 | 131.24062 | -0.2406244 | -0.11000544 |\n",
       "| 5 |  67.69928 | -0.6992835 | -0.34443368 |\n",
       "| 6 | 169.68486 | -0.6848553 | -0.33365032 |\n",
       "| 7 |  79.73194 |  1.2680643 |  0.65018013 |\n",
       "| 8 | 189.67200 |  2.3279970 |  1.25776219 |\n",
       "| 9 | 119.83202 | -3.8320189 | -2.21655274 |\n",
       "| 10 |  53.29052 |  1.7094765 |  0.91079624 |\n",
       "| 11 | 253.71506 | -1.7150576 | -0.92397237 |\n",
       "| 12 | 228.69079 |  3.3092051 |  2.16085046 |\n",
       "| 13 | 144.97934 | -0.9793423 | -0.45379850 |\n",
       "| 14 | 100.53307 |  2.4669251 |  1.27498091 |\n",
       "| 15 | 210.93806 |  1.0619404 |  0.55945704 |\n",
       "\n"
      ],
      "text/plain": [
       "   \\u62df\\u5408\\u503c \\u6b8b\\u5dee \\u5b66\\u751f\\u5316\\u6b8b\\u5dee\n",
       "1  161.89572           0.1042756    0.04973473                   \n",
       "2  122.66732          -2.6673176   -1.36670170                   \n",
       "3  224.42938          -1.4293843   -0.71265041                   \n",
       "4  131.24062          -0.2406244   -0.11000544                   \n",
       "5   67.69928          -0.6992835   -0.34443368                   \n",
       "6  169.68486          -0.6848553   -0.33365032                   \n",
       "7   79.73194           1.2680643    0.65018013                   \n",
       "8  189.67200           2.3279970    1.25776219                   \n",
       "9  119.83202          -3.8320189   -2.21655274                   \n",
       "10  53.29052           1.7094765    0.91079624                   \n",
       "11 253.71506          -1.7150576   -0.92397237                   \n",
       "12 228.69079           3.3092051    2.16085046                   \n",
       "13 144.97934          -0.9793423   -0.45379850                   \n",
       "14 100.53307           2.4669251    1.27498091                   \n",
       "15 210.93806           1.0619404    0.55945704                   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 拟合值：\n",
    "fm.fitted <- fitted(fm)\n",
    "# 残差：\n",
    "fm.residuals <- residuals(fm)\n",
    "# 学生化残差：\n",
    "fm.rstudent <- rstudent(fm)\n",
    "\n",
    "fmr <- data.frame(\n",
    "    `拟合值`=fm.fitted, \n",
    "    `残差`=fm.residuals, \n",
    "    `学生化残差`=fm.rstudent\n",
    "); fmr"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "sharing-traffic",
   "metadata": {},
   "source": [
    "对于学生化残差用频率检验法："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "vertical-number",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AABAgQIECBAYKyAAmmslH4ECBAgQIAAAQIECExeQIE0+Sk2QAIECBAgQIAAAQIE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",
      "text/plain": [
       "Plot with title “Histogram of fm.rstudent”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hist(fm.rstudent)\n",
    "rug(fm.rstudent)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "offensive-margin",
   "metadata": {},
   "source": [
    "- 有 $\\frac{10}{15}\\approx 0.68$ 落在 $(-1.0,1.0)$ 内，\n",
    "- 有 $\\frac{13}{15}\\approx 0.87$ 落在 $(-1.5,1.5)$ 内，\n",
    "- 有 $\\frac{15}{15}      = 1.00$ 落在 $(-2.4,2.4)$ 内，\n",
    "\n",
    "可见，学生化残差与上述个区间的频率在 $N(0,1)$ 分布的相应概率相差不大，所以模型误差项的正态性假设是合理的。\n",
    "\n",
    "进一步，可以做一个 ks 检测："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "thorough-variance",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tOne-sample Kolmogorov-Smirnov test\n",
       "\n",
       "data:  fm.rstudent\n",
       "D = 0.11208, p-value = 0.9808\n",
       "alternative hypothesis: two-sided\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ks.test(fm.rstudent, \"pnorm\", 0, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "optimum-check",
   "metadata": {},
   "source": [
    "检测结果也说明正态分布。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "conventional-fashion",
   "metadata": {},
   "source": [
    "下面作出各种残差图："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "sharp-genius",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VjvD6VA86AR0DpIJgIFETgFB/ClYHHAgY9iuyI0EtoOfQIVxzJx8pEQIrgcx5wU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\ntORwY693qOsAAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "par(mfrow=c(2,2))\n",
    "\n",
    "plot(fm)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "exposed-coverage",
   "metadata": {},
   "source": [
    "- 左上图：**残差-拟合**：残差和拟合值之间，数据点均匀分布在y=0两侧，呈现出随机的分布，没有明显的形状特征，说明残差数据表现比较好。\n",
    "- 右上图：**标准化残差 Q-Q**：数据点按对角直线排列，趋于一条直线，并被对角直接穿过，直观上符合正态分布。\n",
    "- 左下图：**标准化残差-拟合**：数据随机分布与左上图蕾丝，无明显的形状特征。\n",
    "- 右下图：**标准化残差杠杆图**：可以看出离群点、高杠杆值点和强影响点。（这里不做讨论）\n",
    "\n",
    "由这些图，可以认为相应的线性回归模型以及误差的独立正态分布的假设是合理的。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "ruled-alexander",
   "metadata": {},
   "outputs": [],
   "source": [
    "detach(data)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "4.0.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
